GIG: Infrastructure Improvement for a Research Group for the Study of the Algebra and Geometric of Quantum Physics

GIG：量子物理代数和几何研究小组的基础设施改进

• 批准号: 9510375
• 负责人: David Yetter
• 金额: $ 10万
• 依托单位: Kansas State University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1995
• 资助国家: 美国
• 起止时间: 1995-09-15 至 1999-02-28
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9510375&HistoricalAwards=false
• 关键词: GIG; Infrastructure; Improvement; Research; Group

9510375 Yetter A focus on mathematical problems arising from or related to quantum physics has become the over-riding theme of much of the mathematical research carried out in the Kansas State University Department of Mathematics. This project addresses the infrastructure needs of the group engaged in mathematical research in this area, specifically enabling the group to hire a postdoctoral research assistant whose presence will improve research productivity through the injection of fresh perspectives and ideas and the cementing ties between members of the group and providing for improvements to the computing environment available to the group.Research interests in the group range from very classical applications of mathematics to quantum theory--- solution of equations of Schroedinger type (L.V. KAPITANSKI), quantum scattering problems (both direct and inverse) (A.G. Ramm and K. VANINSKY), and continuum statistical mechanics (K. Vaninsky)---through general quantization problems (Y. SOIBELMAN) and non-commutative geometry (F. WU and G. Nagy) to recent developments relating algebra, topology and quantum field theory--- quantum groups (Z. LIN and Y. Soibelman), topological and conformal field theories (L. CRANE, Z. Lin, and D.N. YETTER), applications of gauge theory to differential topology (F. Miller), and sigma models (L.V. Kapitanski).(The first mention of each co-PI for the project is in upper-case.)

小行星9510375 对量子物理所产生的或与之相关的数学问题的关注已经成为堪萨斯州立大学数学系进行的大部分数学研究的首要主题。 该项目解决了从事这一领域数学研究的小组的基础设施需求，特别是让小组聘请一名博士后研究助理，他的存在将通过注入新的观点和想法，加强小组成员之间的联系，并改善小组可用的计算环境，从而提高研究生产力。组的范围从非常经典的数学应用到量子理论-薛定谔方程的解（L. V. KAPITANSKI），量子散射问题（直接和逆）（A.G. Ramm和K. VANINSKY）和连续统统计力学（K. Vaninsky）-通过一般的量子化问题（Y。SOIBELMAN）和非交换几何（F.吴和G. Nagy）到最近有关代数、拓扑学和量子场论的发展--量子群（Z.林 和Y. Soibelman），拓扑与共形场论（L.起重机Lin和D.N. YETTER），规范理论在微分拓扑学中的应用（F.米勒）和西格玛模型（L. V. Kapitanski）。(The首次提及该项目的每个co-PI时使用大写字母。）